The Galaxy, led by English star David Beckham and Landon Donovan, are on a seven-match winless streak as they play Chivas USA on Thursday night.
"There are two good people that for different reasons aren't part of this organization today, and that's a shame," Leiweke said. "The fact is, the players have to look deep inside themselves and understand they have to be responsible for some of this.
"Am I angry we find ourselves in the situation we find ourselves in? Yes. This is not a fun week. The Galaxy hasn't made the playoffs for a couple years. Punting on this season is not acceptable. It starts Thursday."
Much was expected when Beckham joined the Galaxy last season. But he was limited to five games because of injuries and the Galaxy went 9-14-7 for 34 points, and were eliminated from playoff contention on the season's final day.
The Galaxy were in pretty good shape this season before the recent winless streak left them at 6-8-5 with just 23 points.
Also gone is President/General Manager Alexi Lalas.
